Least Common Multiple of 322 and 330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 322 and 330 the smallest integer that is 53130 that is divisible by both numbers.

Least Common Multiple (LCM) of 322 and 330 is 53130.

LCM(322,330) = 53130

LCM of 322 and 330

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 322 and 330

LCM of 322 and 330 is 53130

Least common multiple can be found by multiplying the highest exponent prime factors of 322 and 330. First we will calculate the prime factors of 322 and 330.

Prime Factorization of 322


2 322
7 161
23 23
1

Prime factors of 322 are 2, 7,23. Prime factorization of 322 in exponential form is:

322 = 21×71×231

Prime Factorization of 330


2 330
3 165
5 55
11 11
1

Prime factors of 330 are 2, 3, 5,11. Prime factorization of 330 in exponential form is:

330 = 21×31×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 322 and 330.

LCM(322,330) = 21×31×51×71×111×231
LCM(322,330) = 53130

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Least Common Multiple of 322 and 330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 322 and 330, than apply into the LCM equation.

GCF(322,330) = 2
LCM(322,330) = ( 322 × 330) / 2
LCM(322,330) = 106260 / 2
LCM(322,330) = 53130

Properties of LCM 322 and 330

(i) The LCM of 330 and 322 is associative

LCM of 322 and 330 = LCM of 330 and 322

Related Least Common Multiples of 322

Related Least Common Multiples of 330

Frequently Asked Questions on LCM of 322 and 330

1. What is the LCM of 322 and 330?

Answer: LCM of 322 and 330 is 53130.

2. What are the Factors of 322?

Answer: Factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322. There are 8 integers that are factors of 322. The greatest factor of 322 is 322.

3. What are the Factors of 330?

Answer: Factors of 330 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330. There are 16 integers that are factors of 330. The greatest factor of 330 is 330.

4. How to Find the LCM of 322 and 330?

Answer:

Least Common Multiple of 322 and 330 = 53130

Step 1: Find the prime factorization of 322

322 = 2 x 7 x 23

Step 2: Find the prime factorization of 330

330 = 2 x 3 x 5 x 11

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 53130 = 2 x 3 x 5 x 7 x 11 x 23

Step 4: Therefore, the least common multiple of 322 and 330 is 53130.